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Joseph I. Goldstein, Dale E. Newbury [et al.]. Scanning Electron Microscopy and X-Ray Microanalysis. (2017). (ISBN 978-1-4939-6674-5). (ISBN 978-1-4939-6676-9). (DOI 10.1007978-1-4939-6676-9).pdf
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Image Formation

6.1\ Image Construction by Scanning Action – 94

6.2\ Magnification – 95

6.2.1\ Magnification, Image Dimensions, and Scale Bars – 95

6.3\ Making Dimensional Measurements With the SEM: How Big Is That Feature? – 95

6.3.1\ Calibrating the Image – 95

6.4\ Image Defects – 98

6.4.1\ Projection Distortion (Foreshortening) – 98

6.4.2\ Image Defocusing (Blurring) – 100

6.5\ Making Measurements on Surfaces With Arbitrary Topography: Stereomicroscopy – 102

6.5.1\ Qualitative Stereomicroscopy – 103

6.5.2\ Quantitative Stereomicroscopy – 107

\References – 110

© Springer Science+Business Media LLC 2018

J. Goldstein et al., Scanning Electron Microscopy and X-Ray Microanalysis, https://doi.org/10.1007/978-1-4939-6676-9_6

\94 Chapter 6 · Image Formation

6.1\ Image Construction by Scanning Action

After leaving the electron source, the beam follows the central (optic) axis of the lens system and is sequentially defined by apertures and focused by the magnetic and/or electrostatic fields of the lens system. Within the final (objective) lens, a system of scan coils acts to displace the beam off the optic axis so that it can be addressed to a location on the specimen, as illustrated schematically for single deflection scanning in .Fig. 6.1.

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Scan coils

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. Fig. 6.1  Scanning action to produce a sequence of discrete beam locations on the specimen

. Fig. 6.2  Scanning action in two dimensions to produce an x-y raster, and the corresponding storage and display of image information by scan location

Beam locations on specimen and specimen pixels

At any particular time, there is only one ray path (solid line) through the scanning system and the beam reaches only one location on the specimen, for example, position 3 in .Fig. 6.1. The SEM image is a geometric construction created under computer control by addressing the focused beam to a sequence of discrete x-y locations on the specimen and measuring the effect of the interaction of the beam with the specimen at each location. For a single gray-­scale SEM image, this interaction could be the output from a single electron detector, such as the Everhart–Thornley detector. It is also possible to measure the output from more than one detector simultaneously while the beam is addressed to a single x-y location. When this is done, multiple gray-­scale SEM images are built up at the same time during the scan. It is essential to realize that even when these multiple signals are being collected simultaneously and multiple images are produced, only a single scan is needed; the parallel nature of the acquisition arises from parallel detection, not parallel scanning. Note that no “true image” actually exists within the SEM in the same sense as the image created in a light optical microscope, where actual ray paths extend from each point on the specimen through the lens system to a corresponding point on the image recording medium, whether that is the eye of a human viewer or the positionally sensitive detector of a digital camera. In the SEM, at each location sampled by the incident electron beam, each signal is measured with an appropriate detector and the analog measurement is converted to an equivalent digital value (using an analog-to-digital converter, ADC). The beam x-y location and the intensity(ies) Ij of the signal(s) of interest generate a digital stream of data packets (x, y, Ij), where the index j represents the various signals available: backscattered electrons (BSE), secondary electrons (SE), absorbed current, X-rays, cathodoluminescence, etc.

A simple description of this “scanning action” to create an image is shown schematically in .Fig. 6.2, where an area with equal edge dimensions l being scanned on the specimen is effectively divided into an x-y grid of square picture ele-

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Beam locations in computer memory and display pixels